# Lesson 6Be the ChangePractice Understanding

### 1.

Graph the following linear equations on the grid. The equation has been graphed for you. For each new equation explain what the number does to the graph of . Pay attention to the -intercept, the -intercept, and the slope. Identify what changes in the graph and what stays the same.

### 2.

The graph of is given. For each equation, predict what you think the number will do to the graph. Then graph the equation.

Prediction:

Prediction:

## Set

For each relation given:

1. Identify whether or not the relation is a function. (If it’s not a function, skip b–d.)

2. Determine if the function is linear, exponential, quadratic, or neither.

3. Describe the type of growth.

4. Express the relation in the indicated form.

### 3.

The Driver Education course started with students. Students complete the course by passing the driving examination. After the first month, there were students in the course, after the next month , then

#### a.

Is it function? (If not, skip parts b–d.)

Yes

No

#### b.

Is the function linear, exponential, quadratic, or neither?

linear

exponential

neither

#### c.

How does it change?

#### d.

Make a graph. Label your axes and the scale.

### 4.

#### a.

Identify whether or not the relation is a function. (If it’s not a function, skip b–d.)

Yes

No

#### b.

Determine if the function is linear, exponential, quadratic, or neither.

linear

exponential

neither

#### c.

How does it change?

#### d.

Write the explicit equation.

### 5.

#### a.

Identify whether or not the relation is a function. (If it’s not a function, skip b–d.)

Yes

No

#### b.

Determine if the function is linear, exponential, quadratic, or neither.

linear

exponential

neither

#### c.

How does it change?

Create a table.

### 6.

Distance traveled in feet based on the speed in mph the baseball leaves the bat.

#### a.

Identify whether or not the relation is a function. (If it’s not a function, skip b–d.)

Yes

No

#### b.

Determine if the function is linear, exponential, quadratic, or neither.

linear

exponential

neither

#### c.

How does it change?

#### d.

Predict the distance the baseball flies, if it leaves the bat at a speed of .

## Go

### 7.

Match each function in A-G with an equivalent function in 1–7.

1. ___

2. ___

3. ___

I put in a savings account that pays interest compounded annually. I plan to leave it in the bank for years. What amount will I have then?

4. ___

The area of the triangles.

5. ___

6. ___

7. ___

 $x$ $f\left(x\right)$ $-7.75$ $-\frac{1}{4}$ $\frac{1}{2}$ $11.6$ $7.75$ $\frac{1}{4}$ $-\frac{1}{2}$ $-11.6$